2 papers
nlin.SI2020
Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior
Oleksiy O. Vakhnenko
A multi-component semi-discrete nonlinear integrable system associated with the relevant third-order auxiliary linear problem is claimed to be the prototype system for several redu…
physics.geo-ph2004
Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars
Oleksiy O. Vakhnenko, Vyacheslav O. Vakhnenko, Thomas J. Shankland +1
A closed-form description is proposed to explain nonlinear and slow dynamics effects exhibited by sandstone bars in longitudinal resonance experiments. Along with the fast subsyste…